Yum-Tong Siu
#5,076
Most Influential Person Now
Chinese mathematician
Yum-Tong Siu's AcademicInfluence.com Rankings
Yum-Tong Siumathematics Degrees
Mathematics
#191
World Rank
#438
Historical Rank
#88
USA Rank
Algebraic Geometry
#16
World Rank
#17
Historical Rank
#4
USA Rank
Geometry
#12
World Rank
#27
Historical Rank
#4
USA Rank
Measure Theory
#1006
World Rank
#1300
Historical Rank
#371
USA Rank
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Mathematics
Why Is Yum-Tong Siu Influential?
(Suggest an Edit or Addition)According to Wikipedia, Yum-Tong Siu is the William Elwood Byerly Professor of Mathematics at Harvard University. Siu is a prominent figure in the study of functions of several complex variables. His research interests involve the intersection of complex variables, differential geometry, and algebraic geometry. He has resolved various conjectures by applying estimates of the complex Neumann problem and the theory of multiplier ideal sheaves to algebraic geometry.
Yum-Tong Siu's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Analyticity of sets associated to Lelong numbers and the extension of closed positive currents (1974) (446)
- Compact kähler manifolds of positive bisectional curvature (1980) (340)
- Complex-analyticity of harmonic maps and strong rigidity of compact Kähler manifolds. (1979) (297)
- Invariance of plurigenera (1997) (281)
- Lectures on Hermitian-Einstein Metrics for Stable Bundles and Kähler-Einstein Metrics: Delivered At The German Mathematical Society Seminar In Düsseldorf In June, 1986 (1987) (256)
- Every Stein subvariety admits a Stein neighborhood (1976) (239)
- Extension of Twisted Pluricanonical Sections with Plurisubharmonic Weight and Invariance of Semipositively Twisted Plurigenera for Manifolds Not Necessarily of General Type (2002) (206)
- Effective freeness and point separation for adjoint bundles (1995) (191)
- Every K3 surface is Kähler (1983) (177)
- STABLE SHEAVES AND EINSTEIN-HERMITIAN METRICS (1994) (175)
- The existence of Kähler-Einstein metrics on manifolds with positive anticanonical line bundle and a suitable finite symmetry group (1988) (175)
- Complex-analyticity of harmonic maps, vanishing and Lefschetz theorems (1982) (163)
- Techniques of extension of analytic objects (1974) (156)
- Gap-sheaves and extension of coherent analytic subsheaves (1971) (139)
- The Poincaré-Lelong equation on complete Kähler manifolds (1981) (116)
- A Compact Kähler Surface of Negative Curvature Not Covered by the Ball (1980) (109)
- Defects for ample divisors of abelian varieties, Schwarz lemma, and hyperbolic hypersurfaces of low degrees (1996) (105)
- Uniform estimates for the $$\bar \partial $$ -equation on domains with piecewise smooth strictly pseudoconvex boundaries (1973) (104)
- The Fujita conjecture and the extension theorem of Ohsawa-Takegoshi (1995) (101)
- A vanishing theorem for semipositive line bundles over non-Kähler manifolds (1984) (99)
- Hyperbolicity of the complement of a generic smooth curve of high degree in the complex projective plane (1996) (93)
- Complete Kahler manifolds with nonpositive curvature of faster than quadratic decay1 (1977) (86)
- Multiplier ideal sheaves in complex and algebraic geometry (2005) (85)
- Nonexistence of smooth Levi-flat hypersurfaces in complex projective spaces of dimension > 3 (2000) (81)
- Geometric superrigidity (1993) (80)
- Curvature of the Weil-Petersson Metric in the Moduli Space of Compact Kähler-Einstein Manifolds of Negative First Chem Class (1986) (76)
- Hyperbolicity in Complex Geometry (2004) (75)
- COMPACTIFICATION OF NEGATIVELY CURVED COMPLETE KAHLER MANIFOLDS OF FINITE VOLUME (1982) (75)
- Extension of meromorphic maps into Ka-hler manifolds (1975) (74)
- Some recent transcendental techniques in algebraic and complex geometry (2002) (63)
- Strong Rigidity for Kähler Manifolds and the Construction of Bounded Holomorphic Functions (1987) (60)
- Some recent results in complex manifold theory related to vanishing theorems for the semipositive case (1985) (58)
- Hyperbolicity of generic high-degree hypersurfaces in complex projective space (2012) (57)
- An Effective Matsusaka Big Theorem (1993) (57)
- A General Non-Vanishing Theorem and an Analytic Proof of the Finite Generation of the Canonical Ring (2006) (55)
- A simple proof of the surjectivity of the period map of K3 surfaces (1981) (50)
- ANALYTIC SHEAF COHOMOLOGY GROUPS OF DIMENSION n OF n-DIMENSIONAL COMPLEX SPACES (1969) (49)
- Effective very ampleness (1996) (47)
- Projective embedding of pseudoconcave spaces (1970) (46)
- Finite generation of canonical ring by analytic method (2008) (45)
- Extending Coherent Analytic Sheaves (1969) (43)
- Strong rigidity of compact quotients of exceptional bounded symmetric domains (1981) (42)
- Analytic sheaf cohomology groups of dimension $n$ of $n$-dimensional noncompact complex manifolds. (1969) (39)
- Dynamic multiplier ideal sheaves and the construction of rational curves in Fano manifolds (2009) (39)
- Complex Analysis of Several Variables (1984) (39)
- Defect relations for holomorphic maps between spaces of different dimensions (1987) (38)
- 0-Regularity for weakly pseudoconvex domains in compact Hermitian symmetric spaces with respect to invariant metrics (2002) (38)
- Noetherianness of rings of holomorphic functions on Stein compact series (1969) (38)
- A generalized Bloch's theorem and the hyperbolicity of the complement of an ample divisor in an Abelian variety (1996) (38)
- Pseudoconvexity and the problem of Levi (1978) (38)
- Holomorphic convexity of spaces of analytic cycles (1977) (37)
- Deformations of Coherent Analytic Sheaves With Compact Supports (1981) (37)
- Nondeformability of the complex projective space. (1989) (34)
- Noether-Lasker decomposition of coherent analytic subsheaves (1969) (32)
- The $$\overline \partial$$ problem with uniform bounds on derivatives (1974) (32)
- Effective Termination of Kohn's Algorithm for Subelliptic Multipliers (2007) (31)
- The 1-convex generalization of Grauert's direct image theorem (1971) (30)
- A Hartogs Type Extension Theorem for Coherent Analytic Sheaves (1971) (29)
- Analytic sheaves of local cohomology (1969) (29)
- Ck approximation by holomorphic functions and $$\bar \partial $$ -closed forms onCk submanifolds of a complex manifold (1974) (29)
- Absolute gap-sheaves and extensions of coherent analytic sheaves (1969) (28)
- Invariance of Plurigenera and Torsion-Freeness of Direct Image Sheaves of Pluricanonial Bundles (2004) (27)
- Holomorphic fiber bundles whose fibers are bounded stein Domains with zero first Betti number (1976) (26)
- Curvature characterization of hyperquadrics (1980) (25)
- Non-countable dimensions of cohomology groups of analytic sheaves and domains of holomorphy (1967) (24)
- All plane domains are Banach-Stein (1974) (23)
- Complex Geometry : Collection of Papers Dedicated to Hans Grauert (2002) (22)
- Analyticity of sets associated to Lelong numbers and the extension of meromorphic maps (1973) (20)
- Techniques for the Analytic Proof of the Finite Generation of the Canonical Ring (2008) (18)
- A pseudoconcave generalization of Grauert's direct image theorem : II (1970) (17)
- HYPERBOLICITY PROBLEMS IN FUNCTION THEORY (1995) (17)
- Addendum to "Defects for ample divisors of abelian varieties, Schwarz lemma, and hyperbolic hypersurfaces of low degrees," American Journal of Mathematics 119 (1997), 1139-1172 (2002) (17)
- Abundance conjecture (2009) (15)
- Recent Techniques in Hyperbolicity Problems (1999) (15)
- Compact Kähler-Einstein surfaces of nonpositive bisectional curvature (1981) (14)
- A pseudoconvex-pseudoconcave generalization of Grauert's direct image theorem (1972) (12)
- $\overline{\partial}$-Regularity for Weakly Pseudoconvex Domains in Compact Hermitian Symmetric Spaces with Respect to Invariant Metrics (2002) (12)
- Dimensions of sheaf cohomology groups under holomorphic deformation (1971) (11)
- Global nondeformability of the complex projective space (1991) (11)
- Extension of locally free analytic sheaves (1969) (11)
- Very ampleness part of Fujita’s conjecture and multiplier ideal sheaves of Kohn and Nadel (2001) (11)
- New procedure to generate multipliers in complex Neumann problem and effective Kohn algorithm (2017) (10)
- Calculus inequalities derived from holomorphic Morse inequalities (1990) (10)
- Holomorphic functions of polynomial growth on bounded domains (1970) (10)
- A Thullen type extension theorem for positive holomorphic vector bundles (1972) (10)
- A NEW BOUND FOR THE EFFECTIVE MATSUSAKA BIG THEOREM (2002) (10)
- VERY AMPLENESS CRITERION OF DOUBLE ADJOINTS OF AMPLE LINE BUNDLES (1996) (9)
- Extension of coherent analytic subsheaves (1968) (8)
- Characterization of privileged polydomains (1974) (8)
- A generalized Bloch's theorem and the hyperbolicity of the complement of an ample divisor in an Abelian variety (1996) (7)
- Complex differential geometry and nonlinear differential equations (1986) (7)
- Hilbert Nullstellensatz in global complex-analytic case (1968) (7)
- Asymptotic Morse inequalities for analytic sheaf cohomology (1985) (7)
- SHEAF COHOMOLOGY WITH BOUNDS AND BOUNDED HOLOMORPHIC FUNCTIONS (1969) (6)
- $O\sp{N}$-approximable and holomorphic functions on complex spaces (1969) (6)
- Uniformization in Several Complex Variables (1991) (6)
- Uniform estimates for the ${\bar \partial }$-equation on intersections of strictly pseudoconvex domains (1972) (6)
- Errata to the Paper "Complete Kähler Manifolds with Nonpositive Curvature of Faster than Quadratic Decay" (1979) (5)
- Section extension from hyperbolic geometry of punctured disk and holomorphic family of flat bundles (2011) (5)
- Additional Explanatory Notes on the Analytic Proof of the Finite Generation of the Canonical Ring (2007) (4)
- On the solution of the equationf'(x)=γf(g(x)) (1965) (4)
- A tribute to Hans Grauert (2014) (4)
- Nondeformability of the complex projective space. (1992) (4)
- Generalizations of Grauert's direct image theorem (1971) (4)
- NONEQUIDIMENSIONAL VALUE DISTRIBUTION THEORY AND MEROMORPHIC CONNECTIONS (1990) (4)
- Nonequidimensional value distribution theory (1988) (4)
- On the structure of complete simply-connected Kähler manifolds with nonpositive curvature. (1976) (3)
- Complex-Analyticity of Harmonic Maps and Vanishing Theorems (1984) (3)
- COMPLEX-ANALYTICITY OF HARMONIC MAPS, VANISHING AND LEFSCHETZ THEOREMS (2008) (3)
- Extending coherent analytic sheaves through subvarieties (1969) (3)
- An Osgood type extension theorem for coherent analytic sheaves (1971) (3)
- A Thullen Type Theorem on Coherent Analytic Sheaf Extension (1970) (3)
- Analytic sheaf cohomology with compact supports (1969) (2)
- Kähler-Einstein metrics for the case of positive first chern class (1987) (2)
- Several Complex Variables (1984) (2)
- Closedness of coboundary modules of analytic sheaves (1970) (2)
- Nonequidimensional value distribution theory and subvariety extension (1986) (2)
- Normal families of Cousin I and II data (1969) (2)
- Multiplier Ideal Sheaves in Algebraic and Complex Geometry (2004) (2)
- Extension of analytic covers (1971) (1)
- Modern Methods in Complex Analysis (AM-137): The Princeton Conference in Honor of Gunning and Kohn. (AM-137) (1996) (1)
- A PROOF OF CARTAN'S THEOREMS A AND B (1968) (1)
- Shorter Notes: A Note on Cartan's Theorems A and B (1967) (1)
- A note on Cartan’s theorems and (1967) (1)
- Bessel Functions and Vibrating Circular Membrane Method of Separation of Variables. For a linear partial differential equation (2007) (1)
- SOLUTIONS TO PRACTICE EXAMINATION TWO FOR FIRST MID-TERM October 24 , 2007 Math 21 b , Fall 2007 MWF 10 (2007) (0)
- Several Complex Variables and Analytic Spaces 32–xx 32–xx Several Complex Variables and Analytic Spaces {for Infinite-dimensional Holomorphy, See 46g20, 58b12.} 32–01 Instructional Exposition (textbooks, Tutorial Papers, Etc.) 32–03 Historical (must Also Be Assigned at Least One Classification Numbe (2003) (0)
- Ten open problems connected with Hermitian and Kähler manifolds (1985) (0)
- PROGRAM OF THE CONFERENCE (1996) (0)
- Splitting of unstable 2-bundles over the complex projective 6-space (2015) (0)
- In Memory of Pierre Lelong (2014) (0)
- Closedness of coboundary modules (1971) (0)
- SOLUTION OF PRACTICE EXAMINATION THREE FOR SECOND MID-TERM November 28 , 2007 Math 21 b , Fall 2007 MWF 10 (2007) (0)
- Skoda's Ideal Generation from Vanishing Theorem for Semipositive Nakano Curvature and Cauchy-Schwarz Inequality for Tensors (2017) (0)
- Manifolds with Suitable Finite Symmetry (1987) (0)
- The Role of the Gradient Term of the Bochner–Kodaira Formula in Coherent Sheaf Extension (2021) (0)
- The Mixed Case of the Direct Image Theorem and its Applications (2009) (0)
- Obstuctions to the Existence of Kähler-Einstein Metrics (1987) (0)
- Primes in Arbitrarily Long Arithmetic Progression (2012) (0)
- COMPLEX-ANALYTIC CASE (2016) (0)
- Masatake Kuranishi (1924–2021) (2022) (0)
- Fe b 20 09 Dynamic Multiplier Ideal Sheaves and the Construction of Rational Curves in Fano Manifolds Dedicated to Professor Christer Kiselman (2009) (0)
- ABSOLUTE GAP-SHEAVES AND EXTENSIONS OF (2016) (0)
- LOCAL COHOMOLOGY AND CONNECTEDNESS OF ANALYTIC SUBVARIETIES (1968) (0)
- Complex differential geometry and nonlinear differential equations : proceedings of the AMS-IMS-SIAM Joint Summer Research Confernece, held August 12-18, 1984, with support from the National Science Foundation (1986) (0)
- Jean-Pierre Demailly (1957–2022) (2023) (0)
- The Heat Equation Approach to Hermitian-Einstein Metrics on Stable Bundles (1987) (0)
- Hyperbolicity of generic high-degree hypersurfaces in complex projective space (2015) (0)
- The Uniformization Problem for Complex Manifolds (1976) (0)
- Coherent noether-lasker decomposition of subsheaves and sheaf cohomology (1967) (0)
- Singularities of coherent sheaves and their cohomology classes (1971) (0)
- New procedure to generate multipliers in complex Neumann problem and effective Kohn algorithm (2017) (0)
- Sheaves of local cohomology and absolute gap-sheaves (1971) (0)
- Uniqueness of Kähler-Einstein Metrics up to Biholomorphisms (1987) (0)
- Some Recent Results Related to the Uniformization Problem in Several Complex Variables (1991) (0)
- Primary decomposition and relative gap-sheaves (1971) (0)
- Definite Integrals Evaluated by Contour Integration of Branches of Holomorphic Functions. We are going to discuss the evaluation of definite integrals which requires the application of Cauchy’s residue theory to branches of holomorphic func- (2006) (0)
- J ul 2 01 1 Section Extension from Hyperbolic Geometry of Punctured Disk and Holomorphic Family of Flat Bundles Dedicated to Fabrizio Cantanese (2013) (0)
- Subvariety extension. Projection lemma (1971) (0)
- SOLUTION OF SECOND PRACTICE FINAL EXAMINATION Math 21 b , Fall 2007 MWF 10 (2008) (0)
- Kähler-Einstein Metrics for the Case of Negative and Zero Anticanonical Class (1987) (0)
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